An Integrated Linear Reconstruction for Finite Volume Scheme on Unstructured Grids
主 题: An Integrated Linear Reconstruction for Finite Volume Scheme on Unstructured Grids
报告人: 陈里 (啪啪啦-美女啪啪-啪啪视频
数学啪啪啦
)
时 间: 2016-04-13 12:00 - 13:15
地 点: 理科一号楼1560
Linear reconstruction based on local cell-averaged values is the most commonly adopted technique to achieve a second-order accuracy when one uses the finite volume scheme on unstructured grids. For solutions with discontinuities appearing in conservation laws, a certain limiter has to be applied to the predicted gradient to prevent numerical oscillations. We propose a new formulation for linear reconstruction on unstructured grids, which integrates the prediction of the gradient and the limiter together. By solving on each cell a tiny linear programming problem without any parameters, the gradient is directly obtained which satisfies the monotonicity condition. Numerical results demonstrate that our method achieves satisfactory numerical accuracy with theoretical guarantee of local discrete maximum principle. 啪啪啦
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